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has been cited by the following article:

• TITLE: Statistically Dual Distributions and Estimation

  AUTHORS: Sergey Bityukov, Nikolai Krasnikov, Saralees Nadarajah, Vera Smirnova

  KEYWORDS: Distribution Theory, Confidence Distribution, Measurement, Error Theory, Data Analysis: Algorithms and Implementation, Data Management

  JOURNAL NAME: Applied Mathematics, Vol.5 No.6, April 8, 2014

  ABSTRACT: The reconstruction of a parameter by the measurement of a random variable depending on the parameter is one of the main tasks in statistics. In statistical inference, the concept of a confidence distribution and, correspondingly, confidence density has often been loosely referred to as a distribution function on the parameter space that can represent confidence intervals of all levels for a parameter of interest. In this short note, the notion of statistically dual distributions is discussed. Based on properties of statistically dual distributions, a method for reconstructing the confidence density of a parameter is proposed.